举一反三
- 如果球的一个内接长方体的三条棱长分别为1, 2, 3，那么该球的表面积为 未知类型：{'options': ['[tex=3.429x2.643]e1+XOJvbwJ/B+4GBBbHI7gCqvN8HvFCvzM3CNbFau4U=[/tex]', '[tex=1.071x1.0]OK2rKfbiGGBpmzAejd7anQ==[/tex]', '[tex=3.429x2.643]e1+XOJvbwJ/B+4GBBbHI7nCYt6PbXbOmpWv45wUAGsE=[/tex]', '[tex=1.571x1.0]ARW5EUlC68JHvy9IJNDrHA==[/tex]', '[tex=1.571x1.0]0MDAeMSX7FwMSBrvFs6mew==[/tex]'], 'type': 102}
- 在电容元件的交流电路中,已知[tex=6.0x1.429]tv+C+ZXaw5Sw3w92fzvsdqBZo12uFDRHEjWy0tAFAlI=[/tex], 则 未知类型：{'options': ['[tex=3.429x2.857]eYL9XaUll8LgPu79QLl1BCUswZvcvq7Ys6pqSIGGgeLYyMHd8j1rboUqClGL7iIA[/tex]', '[tex=3.429x2.643]i6+iV/97ilJ18ChvqJaJQqnt9im3oTuipcClzTHf6PJhEp2xFQyfhkrTTKBZE8qS[/tex]', '[tex=3.714x1.429]iw8O6u8molZOXWOzBtx88H7VRl47cCVrFNk22/o1DW4=[/tex]'], 'type': 102}
- 在电感元件的交流电路中,已知 [tex=6.0x1.429]tv+C+ZXaw5Sw3w92fzvsdqBZo12uFDRHEjWy0tAFAlI=[/tex]，则 未知类型：{'options': ['[tex=3.429x2.857]eYL9XaUll8LgPu79QLl1BCUswZvcvq7Ys6pqSIGGgeKh5bwdIiM3byFRq9GQwhHF[/tex]', '[tex=3.429x2.643]i6+iV/97ilJ18ChvqJaJQqnt9im3oTuipcClzTHf6PIfJqk+pc+xAcL3m4RJuZNj[/tex]', '[tex=3.714x1.429]0oAI9iIbPB9N5JH4RE6FMu3lJ+TABbw2aHJlh/QA+OU=[/tex]'], 'type': 102}
- 求[tex=0.714x1.0]jVFRmP3HndwdDGCwdFmiLg==[/tex]树存储的最大记录数:(1) 高度为 3 的 5 阶[tex=0.714x1.0]jVFRmP3HndwdDGCwdFmiLg==[/tex]树；(2) 高度为 5 的 5 阶[tex=0.714x1.0]jVFRmP3HndwdDGCwdFmiLg==[/tex]树;(3) 高度为[tex=0.643x1.0]uPu/UBwxTDghY6MHYDLmcA==[/tex]的 5 阶[tex=0.714x1.0]jVFRmP3HndwdDGCwdFmiLg==[/tex]树。
- 设[tex=2.214x1.357]3ifyTEflt5Bcaalex/kK/5/4+fanD3NJPW5ZKgEbXKo=[/tex]为任意一个开区间，证明[tex=2.214x1.357]3ifyTEflt5Bcaalex/kK/5/4+fanD3NJPW5ZKgEbXKo=[/tex]中必有无理数.
内容
- 0
已知 [tex=20.929x1.5]d8BGP1cdKT10D0Rskg/R1nT0BqKLekI3ABEDBjWXx4IDBYFyzfNIE7MmVWqXqztEnMFizMrUYxbjITpymAjBAfX5F73CbagraBdVyxYrJBpJk70pkqzW24JtKoA6necHFEuh12Vdh281VUlt1a2fg4DeYYXtrDeRfUqR3/B2yoe513FmIjtZx8mo9Moabr/5[/tex], 求 [tex=4.857x1.357]yJi7HbctWy6+Nabxs5X5Qk3ey4Fed61cAe6Bt26pQw8+IEaAaN2IWvZ4sZrsP2tn[/tex] 。
- 1
[tex=45.429x1.286]FUd6QOpSeHCu8FoqUThT+OAU5EqE6phK3Nqpbk203j6FjTnwNDPxOkxsHHwfE4TpS3qJEzofXjkvNuUhSvDYiujEcF7aq9ZygWlXHiaPLHlI51yJXU6K9lUDy1o1KYY6tXnjyCTI5ocWJCZ5EHeNb0RkfiVFXWNvL/5/i32/iTgutjIcvig3VmRV/+9O32UZnB5duH10pnpv2GZf0Z7IFQ==[/tex]
- 2
[tex=45.429x1.286]FUd6QOpSeHCu8FoqUThT+OAU5EqE6phK3Nqpbk203j6FjTnwNDPxOkxsHHwfE4TpS3qJEzofXjkvNuUhSvDYiujEcF7aq9ZygWlXHiaPLHlI51yJXU6K9lUDy1o1KYY6tXnjyCTI5ocWJCZ5EHeNb0RkfiVFXWNvL/5/i32/iTgutjIcvig3VmRV/+9O32UZnB5duH10pnpv2GZf0Z7IFQ==[/tex]
- 3
已知向量组(Ⅰ)：[tex=1.071x1.286]pWE6wju4u8fPNU7ACnOUQHLeZNVAdSH/I6vNZLZGzWg=[/tex]，[tex=1.071x1.286]JGq/5/Kh4u/M938ZQm31Chbw+GLwp2eDbQ5S+yzPRr0=[/tex]，[tex=1.071x1.286]UXqxuREAJBGsvAILiAPouak3R42ZYLRYRDS+UrrM1J0=[/tex]；(Ⅱ)：[tex=1.071x1.286]pWE6wju4u8fPNU7ACnOUQHLeZNVAdSH/I6vNZLZGzWg=[/tex]，[tex=1.071x1.286]JGq/5/Kh4u/M938ZQm31Chbw+GLwp2eDbQ5S+yzPRr0=[/tex]，[tex=1.071x1.286]UXqxuREAJBGsvAILiAPouak3R42ZYLRYRDS+UrrM1J0=[/tex]，[tex=1.071x1.286]aYbv6eCiEgc2XuIKnpB58n0Z5WWyWfmZ3+2BaOGtS2M=[/tex]；和(Ⅲ)：[tex=1.071x1.286]pWE6wju4u8fPNU7ACnOUQHLeZNVAdSH/I6vNZLZGzWg=[/tex]，[tex=1.071x1.286]JGq/5/Kh4u/M938ZQm31Chbw+GLwp2eDbQ5S+yzPRr0=[/tex]，[tex=1.071x1.286]UXqxuREAJBGsvAILiAPouak3R42ZYLRYRDS+UrrM1J0=[/tex]，[tex=1.071x1.286]EKM5dkWdu/Omh1L14pE1cUwDjbxI7m7Xu3SyQ45qSw0=[/tex]．如果各向量组的秩分别为秩(Ⅱ)[tex=0.786x1.286]rj6W22mVYNX/YbwkMquVUw==[/tex]秩(Ⅱ)[tex=1.571x1.286]xPxHspfEVLiX53VbgCuNSA==[/tex]，秩(Ⅲ)[tex=1.571x1.286]kkHQLqaVxc3ZtQo9JAFiEA==[/tex]，证明：向量组[tex=1.071x1.286]pWE6wju4u8fPNU7ACnOUQHLeZNVAdSH/I6vNZLZGzWg=[/tex]，[tex=1.071x1.286]JGq/5/Kh4u/M938ZQm31Chbw+GLwp2eDbQ5S+yzPRr0=[/tex]，[tex=1.071x1.286]UXqxuREAJBGsvAILiAPouak3R42ZYLRYRDS+UrrM1J0=[/tex]，[tex=3.286x1.286]GZGPt+7Y5RJqODKSxp8Zkv/URzsl+ajWKjSTqTXlfrs=[/tex]的秩为4
- 4
设向量组[tex=1.071x1.286]pWE6wju4u8fPNU7ACnOUQHLeZNVAdSH/I6vNZLZGzWg=[/tex]，[tex=1.071x1.286]JGq/5/Kh4u/M938ZQm31Chbw+GLwp2eDbQ5S+yzPRr0=[/tex]，[tex=1.143x1.286]PZ3wc82RrbgX5KwVcyJcmA==[/tex]，[tex=0.929x1.286]Ff8PJr0vif92Cy4pi5zjsXNsBLAtsgBLgvGGr1gK+KY=[/tex]与向量组[tex=1.071x1.286]pWE6wju4u8fPNU7ACnOUQHLeZNVAdSH/I6vNZLZGzWg=[/tex]，[tex=1.071x1.286]JGq/5/Kh4u/M938ZQm31Chbw+GLwp2eDbQ5S+yzPRr0=[/tex]，[tex=1.143x1.286]PZ3wc82RrbgX5KwVcyJcmA==[/tex]，[tex=0.929x1.286]Ff8PJr0vif92Cy4pi5zjsXNsBLAtsgBLgvGGr1gK+KY=[/tex]，[tex=1.857x1.286]BfplC3qdmMIuR9ktapG5oimLVgqI3Q2kb4TqtCnVJ9k=[/tex]，[tex=1.143x1.286]PZ3wc82RrbgX5KwVcyJcmA==[/tex]，[tex=1.0x1.286]K7Gmg5Cgo+HS/qEv7bZhTFh2fUxkbcP/SryOO1HoJnA=[/tex]有相同的秩，证明：[tex=1.071x1.286]pWE6wju4u8fPNU7ACnOUQHLeZNVAdSH/I6vNZLZGzWg=[/tex]，[tex=1.071x1.286]JGq/5/Kh4u/M938ZQm31Chbw+GLwp2eDbQ5S+yzPRr0=[/tex]，[tex=1.143x1.286]PZ3wc82RrbgX5KwVcyJcmA==[/tex]，[tex=0.929x1.286]Ff8PJr0vif92Cy4pi5zjsXNsBLAtsgBLgvGGr1gK+KY=[/tex]与[tex=1.071x1.286]pWE6wju4u8fPNU7ACnOUQHLeZNVAdSH/I6vNZLZGzWg=[/tex]，[tex=1.071x1.286]JGq/5/Kh4u/M938ZQm31Chbw+GLwp2eDbQ5S+yzPRr0=[/tex]，[tex=1.143x1.286]PZ3wc82RrbgX5KwVcyJcmA==[/tex]，[tex=0.929x1.286]Ff8PJr0vif92Cy4pi5zjsXNsBLAtsgBLgvGGr1gK+KY=[/tex]，[tex=1.857x1.286]BfplC3qdmMIuR9ktapG5oimLVgqI3Q2kb4TqtCnVJ9k=[/tex]，[tex=1.143x1.286]PZ3wc82RrbgX5KwVcyJcmA==[/tex]，[tex=1.0x1.286]K7Gmg5Cgo+HS/qEv7bZhTFh2fUxkbcP/SryOO1HoJnA=[/tex]等价．